55735452 has 72 divisors (see below), whose sum is σ = 154745136. Its totient is φ = 17480448.

The previous prime is 55735451. The next prime is 55735453. The reversal of 55735452 is 25453755.

55735452 is a `hidden beast` number, since 557 + 3 + 54 + 52 = 666.

55735452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55735451) and next prime (55735453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55735451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14838 + ... + 18210.

It is an arithmetic number, because the mean of its divisors is an integer number (2149238).

Almost surely, 2^55735452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55735452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77372568).

55735452 is an abundant number, since it is smaller than the sum of its proper divisors (99009684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55735452 is a wasteful number, since it uses less digits than its factorization.

55735452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3395 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 55735452 is about 7465.6179918343. The cubic root of 55735452 is about 381.9828304738.

It can be divided in two parts, 5573 and 5452, that added together give a square (11025 = 105²).

The spelling of 55735452 in words is "fifty-five million, seven hundred thirty-five thousand, four hundred fifty-two".